A358893 Irregular triangle T(n, k), n >= 0, k = 1..A193020(n), read by rows: the n-th row lists the numbers obtained by self-shuffling the binary expansion of n.

0, 3, 10, 12, 15, 36, 40, 48, 43, 45, 51, 53, 54, 58, 60, 63, 136, 144, 160, 192, 147, 149, 153, 163, 165, 169, 195, 197, 201, 170, 172, 178, 180, 202, 204, 210, 212, 175, 183, 187, 207, 215, 219, 204, 212, 216, 228, 232, 240, 219, 221, 235, 237, 243, 245

Offset: 0

Author

Rémy Sigrist, Dec 05 2022

Keywords

• nonn
• base
• tabf

Comments

See A358892 for the distinct values.

n and T(n, k) have the same parity.

Examples

			Triangle T begins (in decimal):
    n   n-th row
    --  --------
     0  0,
     1  3,
     2  10, 12,
     3  15,
     4  36, 40, 48,
     5  43, 45, 51, 53,
     6  54, 58, 60,
     7  63,
     8  136, 144, 160, 192,
     9  147, 149, 153, 163, 165, 169, 195, 197, 201,
     ...
Triangle T begins (in binary):
    n     n-th row
    ----  --------
       0  0,
       1  11,
      10  1010, 1100,
      11  1111,
     100  100100, 101000, 110000,
     101  101011, 101101, 110011, 110101,
     110  110110, 111010, 111100,
     111  111111,
    1000  10001000, 10010000, 10100000, 11000000,
    ...
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..4768 (rows for n = 0..127 flattened)
• Rémy Sigrist, PARI program
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A193020 (row lengths), A330940, A330941, A358892.

Programs

PARI

See Links section.

Formula

T(n, 1) = A330940(n).

T(n, A193020(n)) = A330941(n).